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Worksheet 17-Fall 1995
In this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
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Calculus AB/BC - Sketching Slope Fields
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
Curated OER
Worksheet 10: Differentiation
In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...
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Implicit Differentiation
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
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Implicit Differentiation Problems
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
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Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
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Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
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Differentiability and Linear Approximation
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
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Secant Line Approximation of the Tangent Line
Students perform operation with secant and tangent lines. In this calculus instructional activity, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a...
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Slope and Tangent
Students differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
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Implicit Differentiation
For this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
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Derivatives
In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
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Sudoku Puzzle with Derivatives
In this Sudoku puzzle worksheet, learners use basic derivative formulas, the chain rule and implicit differentiation to solve given problems. This six-page worksheet contains 26 problems. Answers are provided on the last page.
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Differentiability and Linear Approximation
In this differentiability activity, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page activity contains a discussion...
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Discussion Sheet 5: Differentiate Functions
In this differentiate function learning exercise, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page learning exercise contains eleven problems.
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Math- A Level Differentiated Lesson
Young scholars investigate the gradient function of a polynomial and they conduct a class discussion about its meaning. Then students use graphing software in order to examine tangents that can be seen visually to aid those who need...
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Logarithmic Differentiation
Students analyze the steps required to take the derivative of an equation. For this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and tangent...
College Board
2005 AP® Calculus AB Free-Response Questions Form B
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
College Board
2010 AP® Calculus AB Free-Response Questions Form B
Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...
College Board
2003 AP® Calculus AB Free-Response Questions Form B
Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...
College Board
2012 AP® Calculus BC Free-Response Questions
Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
College Board
1999 AP® Calculus BC Free-Response Questions
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
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Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...